Answer:
x = 23 , y = 7 , z = 11
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent , then
PS = CH , that is
2x - 7 = 39 ( add 7 to both sides )
2x = 46 ( divide both sides by 2 )
x = 23
∠ R = ∠ F = 90° , that is
13y - 1 = 90 ( add 1 to both sides )
13y = 91 ( divide both sides by 13 )
y = 7
Then
The sum of the 3 angles in Δ PRS = 180° , that is
∠ S + 90° + 28° = 180°
∠ S + 118° = 180° ( subtract 118° from both sides )
∠ S = 62°
Now ∠ H = ∠ S , that is
6z - 4 = 62 ( add 4 to both sides )
6z = 66 ( divide both sides by 6 )
z = 11
